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Finding the Third Proportional to 805,238,056,491 and 1,250,285,593,320

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Solution

The third proportional to 805,238,056,491 and 1,250,285,593,320 is: 1,941,306,738,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,238,056,491 : 1,250,285,593,320 = 1,250,285,593,320 : x
  2. Step 2: Convert to fraction form
    805,238,056,491/1,250,285,593,320 = 1,250,285,593,320/x
  3. Step 3: Cross multiply
    805,238,056,491x = 1,250,285,593,320 × 1,250,285,593,320
  4. Step 4: Simplify right side
    805,238,056,491x = 1,563,214,064,863,544,344,576,000
  5. Step 5: Solve for x
    x = 1,563,214,064,863,544,344,576,000/805,238,056,491
  6. Step 6: Final answer
    x = 1,941,306,738,128.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.